the allelopathic potential of different concentrations (0, 5 %, 10 %, 20 % and 40%) of medicago sativa shoot extracts were assayed on germination and radicle growth of four weed species( amaranthus hybridus, amaranthus albus, solanum nigrum and chenopodium album) in a laboratory experiment as completely randomized factorial with 3 replications. the results showed that, final germination percent...

We study a renormalization transformation arising in an infinite system of interacting diffusions. The components of the system are labeled by the N -dimensional hierarchical lattice (N ≥ 2) and take values in a compact convex set D ⊂ Rd (d ≥ 1). Each component starts at some θ ∈ D and is subject to two motions: (1) an isotropic diffusion according to a local diffusion rate g : D → [0,∞) chosen...

We consider the synchronization of a network of linearly coupled and not necessarily identical oscillators. We present an approach to the existence of the synchronization manifold which is based on some results developed by R. Smith for the study of periodic solutions of ODEs. Our framework allows the study of a large class of systems and does not assume that the systems are small perturbations...

We discuss the long-time relaxation of a qubit linearly coupled to finite bath $N$ spins (two-level systems, TLSs), with interaction Hamiltonian in rotating wave approximation. focus on regime $N\gg 1$, assuming that qubit-bath coupling is weak, range spin frequencies sufficiently broad, and all are initialized ground state. Despite model being perfectly integrable, we make two interesting obse...